Question

The table shows the 2013 per capita total expenditure on health in 35 countries with the highest gross domestic product in that year. Health expenditure per capita is the sum of public and private heath expenditure (in PPP, international $) divided by population. Health expenditures include the provision of health services, family‑planning activities, nutrition activities, and emergency aid designated for health but exclude the provision of water and sanitation.

Per capita total expenditure on health (international dollars)

Country	Dollars	Country	Dollars	Country	Dollars
Argentina	1725	Indonesia	293	Saudi Arabia	1681
Australia	4191	Iran	1414	South Africa	1121
Austria	4885	Italy	31263126	Spain	2846
Belgium	4526	Japan	37413741	Sweden	4244
Brazil	1454	Korea, South	23982398	Switzerland	6187
Canada	4759	Malaysia	938938	Thailand	658
China	646	Mexico	10611061	Turkey	1053
Colombia	843	Netherlands	56015601	United Arab Emirates	2233
Denmark	4552	Nigeria	207207	United Kingdom	3311
France	4334	Norway	63086308	United States	9146
Germany	4812	Poland	15511551	Venezuala	656
India	215	Russia	15871587

Make a stemplot of the data after rounding to the nearest $100, so that stems are thousands of dollars and leaves are hundreds of dollars. Split the stems, placing leaves 0 to 4 on the first stem and leaves 5 to 9 on the second stem of the same value.

1) Which numbers are the leaves on the first stem associated with $3000?

A) 13

B) 22356889

C) 5689

D) 137

E) 12355789

F) 611

2) Describe the shape, center, and variability of the distribution.

3) Which country is the high outlier?

4) The distribution is _____, with a single high outlier (______ ). There seem to be two clusters of countries. The center of the distribution is about _______spent per capita. The distribution varies from about _________spent per capita to about _______spent per capita.

Answer 1

Value to the nearest 100

Country	Dollars	Country	Dollars	Country	Dollars
Argentina	1700	Indonesia	300	Saudi Arabia	1700
Australia	4200	Iran	1400	South Africa	1100
Austria	4900	Italy	3100	Spain	2800
Belgium	4500	Japan	3700	Sweden	4200
Brazil	1500	Korea, South	2400	Switzerland	6200
Canada	4800	Malaysia	900	Thailand	700
China	600	Mexico	1100	Turkey	1100
Colombia	800	Netherlands	5600	United Arab Emirates	2200
Denmark	4600	Nigeria	200	United Kingdom	3300
France	4300	Norway	6300	United States	9100
Germany	4800	Poland	1600	Venezuala	700
India	200	Russia	1600

Stem and Leaf plot:

Stem unit = $1000

Leaf unit = $100

Stem	Leaf
0	2 2 3
0	6 7 7 8 9
1	1 1 1 4
1	5 6 6 7 7
2	2 4
2	8
3	1 3
3	7
4	2 2 3
4	5 6 8 8 9
5	None
5	6
6	2 3
6	None
7	None
7	None
8	None
8	None
9	1
9	None

1) Numbers that are the leaves on the first stem associated with $3000

Answer A) 13

2) Shape = Right skewed.

Median = (35+1)/2 th value =18th value= $2200 which is the value for United Arab Emirates

Center = $2200 of United Arab Emirates

Variability = High

3) United states is the high outlier.

4) The distribution is Right-skewed, with a single high outlier (United States). There seem to be two clusters of countries. The center of the distribution is about $2200 spent per capita. The distribution varies from about $2200 spent per capita to about $2300 spent per capita.